1 citations · 1 across the 4 of their papers we have counts for
4 papers
Convexity for a parabolic fully nonlinear free boundary problem with singular term
Seongmin Jeon, Henrik Shahgholian
In this paper, we study a parabolic free boundary problem in an exterior domain $$\begin{cases} F(D^2u)-\partial_tu=u^aχ_{\{u>0\}}&\text{in }(\mathbb R^n\setminus K)\times(0,\infty…
Regularity of almost minimizers for the parabolic thin obstacle problem
Seongmin Jeon, Arshak Petrosyan
In this paper, we study almost minimizers for the parabolic thin obstacle (or Signorini) problem with zero obstacle. We establish their -regularity for every , as…
Almost minimizers for a sublinear system with free boundary
Daniela De Silva, Seongmin Jeon, Henrik Shahgholian
We study vector-valued almost minimizers of the energy functional $$\int_D\left(|\nabla\mathbf{u}|^2+\frac2{1+q}\left(λ_+(x)|\mathbf{u}^+|^{q+1}+λ_-(x)|\mathbf{u}^-|^{q+1}\right)\r…
Symmetry for a fully nonlinear free boundary problem with highly singular term
Layan El Hajj, Seongmin Jeon, Henrik Shahgholian
In this paper we prove radial symmetry for solutions to a free boundary problem with a singular right hand side, in both elliptic and parabolic regime. More exactly, in the unit ba…